We want to find the zeros of this polynomial

Zeroes are at 0, -3/2, 1, -2

Step-by-step explanation:

To find the zeroes, all you have to do is find out for which values of x, will make the equation of p(x)=0.

We know that whenever we multiply anything by 0, the answer will also be 0 so we can use that when we are figuring this out.

There is an x on the outside by itself, so if that is equal to 0, then the whole equation will also be equal to 0. So therefore 0 is a zero of p(x).

Then there are three equations in brackets. We need to find the values for x which will make all those equations =0.

So for 2x+3, when x=-3/2, then that will be 0.

For x-1, when x=1, then that will be 0.

For x+2, when x=-2, then that will be 0.

So therefore, the zeroes are at 0, -3/2, 1, -2